*2104.
If the resultant of the four forces is FR = 5 - 360k6 lb,
determine the tension developed in each cable. Due to
symmetry, the tension in the four cables is the same.
z
E
FB
Force Vectors: The unit vectors uA, uB, uC, and uD of FA, FB, FC, and FD mu
293.
z
If FB = 700 N, and FC = 560 N, determine the magnitude
and coordinate direction angles of the resultant force acting
on the flag pole.
A
6m
FB
FC
SOLUTION
Force Vectors: The unit vectors uB and uC of FB and FC must be determined first.
From Fig. a
*636.
Determine the force in members CD, CF, and CG and state
if these members are in tension or compression.
5 kN
4 kN
4 kN
B
C
3 kN
2 kN
A
D
E
3m
F
H
SOLUTION
G
5m
+
: Fx = 0;
Ex = 0
a + MA = 0;
- 4(5) - 4(10) - 5(15) - 3(20) + Ey (20) = 0
Ey = 9.75 kN
*48.
Determine the moment of each of the three forces about point B.
F1
F2
250 N 30
300 N
60
A
2m
3m
SOLUTION
4m
The forces are resolved into horizontal and vertical component as shown in Fig. a.
For F1,
a + MB = 250 cos 30(3) - 250 sin 30(4)
= 149.51 N #
511.
Determine the magnitude of the reactions on the beam at A
and B. Neglect the thickness of the beam.
600 N
400 N
3
5
4
B
A
4m
SOLUTION
a + MA = 0;
By (12) - (400 cos 15)(12) - 600(4) = 0
By = 586.37 = 586 N
+
: Fx = 0;
Ans.
Ax - 400 sin 15 = 0
Ax = 10
Faculty of Engineering
Fall 2016
Civil & Environmental Eng.
Engineering Mechanics
Mock Final Exam
Date: Dec 8, 2016
Room: Take home
Time: 3 hours
Examiners: Dr. N. Biswas
and Dr. A. El Ragaby
PROBLEM
SECTION NUMBER:
1
STUDENT LAST NAME:
2
STUDENT FIRST NA
Question #6
Determine the range of the cylinder mass m for which there is no motion. The
coefficient of friction between the 50-kg block and the incline is 0.15
85-111-F16: Engineering Mechanics
Mock Final Exam
Page 10 /11
Faculty of Engineering
Civil & Environmental Eng.
Fall 2016
Engineering Mechanics I
Tutorial #8
Due on: Wednesday, November 16 @ 6:30 pm
From the textbook, solve the following problems:
T8.1 Problem # 6-4 (Determine the force in members HI, HG, GI, IC, IB
Faculty of Engineering
Civil & Environmental Eng.
Fall 2016
Engineering Mechanics I
Tutorial #2
Due on: Wednesday, September 28 @ 6:30 pm
T 2.1
T 2.2
T 2.3
Faculty of Engineering
Civil & Environmental Eng.
Fall 2016
Engineering Mechanics I
Tutorial #7
Due on: Wednesday, November 9 @ 11:30 pm
From the textbook, solve the following problems:
T7.1 Problem # 5-74
T7.2 Problem # 5-75
T7.3 Problem # 5-77
University
orWindso-r
Faculty of Engineering
Fall
Civil & Environmental Eng.
2016
Engineering Mechanics
Mid-Term Test
Date: Saturday, October 22,2016
Room: Toldo HEC 100, I02,I04
200,202 and,204
Time: 1400-1600
Examiners: Dr. N. Biswas and
Dr. A. El Ragab
39 University
orWIndsor
Faculty Of Engineering Fall 2014
Civil & Environmental Eng. Engineering Mechanics
MID-TERM TEST
Date: Sunday, October 26, 2014 Room: Toido Building - Rm 100, 102,
104 and 200
Time: 1000-11200 Examiners: Dr. A. El Ragaby
1
2101.
The two mooring cables exert forces on the stern of a ship
as shown. Represent eaeh force as a Cartesian vector and
determine the magnitude and coordinate direction angles
of the resultant.
SOLUTION
Unitleemn
rm = cfw_50 01+ (10 0)] + cfw_30 Mix 11
Faculty of Engineering
Civil & Environmental Eng.
Fall 2016
Engineering Mechanics I
Tutorial #3
Due on: Wednesday, October 5 @ 6:30 pm
T 3.1
T 3.2
T 3.3
Calculate the moment at point O for each case
Faculty of Engineering
Civil & Environmental Eng.
Fall 2016
Engineering Mechanics I
Tutorial #1
Due on: Wednesday, September 21 @ 6:30 pm
From the textbook, solve the following problems:
T1.1 Problem # 2.56 on page 43
T12 Problem # 2.65 on page 53
T1.3 Pr
571.
z
Determine the support reactions at the smooth collar A and
the normal reaction at the roller support B.
A
800 N
600 N
B
SOLUTION
x
Equations of Equilibrium: From the free-body diagram, Fig. a, NB, (MA)z, and A y
can be obtained by writing the momen
667.
Determine the horizontal and vertical components of force at
each pin.The suspended cylinder has a weight of 80 lb.
3 ft
E
4 ft
1 ft
A
SOLUTION
B
C
4 ft
a + MB = 0;
FCD a
2
213
b (3) - 80(4) = 0
D
FCD = 192.3 lb
3
Cx = Dx =
Cy = Dy =
+ c Fy = 0;
- By
*216.
Determine the angle of u for connecting member A to the
plate so that the resultant force of FA and FB is directed
horizontally to the right. Also, what is the magnitude of the
resultant force?
FA
u
A
SOLUTION
Parallelogram Law: The parallelogram la
*452.
Determine the magnitude of the moments of the force F
about the x, y, and z axes. Solve the problem (a) using a
Cartesian vector approach and (b) using a scalar approach.
z
A
4 ft
y
SOLUTION
x
a) Vector Analysis
3 ft
C
PositionVector:
rAB = cfw_(4 -
697.
If a force of P = 6 lb is applied perpendicular to the
handle of the mechanism, determine the magnitude of
force F for equilibrium. The members are pin connected at
A, B, C, and D.
P = 6 lb
4 in.
5 in.
25 in.
a + MA = 0;
D
C
- Ax + 6 = 0
30 in.
Ax =